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Jordan homomorphisms revisited

Published online by Cambridge University Press:  01 March 2008

MATEJ BREŠAR
MATEJ BREŠAR*
Affiliation:
Department of Mathematics and Computer Science, FNM, University of Maribor, Koroška 160, 2000 Maribor, Slovenia.
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Abstract

Let θ be a Jordan homomorphism from an algebra A into an algebra B. We find various conditions under which the restriction of θ to the commutator ideal of A is the sum of a homomorphism and an antihomomorphism. Algebraic results, obtained in the first part of the paper, are applied to the second part dealing with the case where A and B are C*-algebras.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 144 , Issue 2 , March 2008 , pp. 317 - 328
Copyright
Copyright © Cambridge Philosophical Society 2008

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